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rewrite $7^x = 13$ in logarithmic form.$log _{7}x = 13$$log _{13}x = 7$…

Question

rewrite $7^x = 13$ in logarithmic form.$log _{7}x = 13$$log _{13}x = 7$$log _{7}13 = x$$log _{x}7 = 13$

Explanation:

Step1: Recall exponential-logarithm conversion

For $b^y = a$, $\log_b a = y$

Step2: Match given equation to formula

Given $7^x = 13$, here $b=7$, $y=x$, $a=13$

Step3: Substitute into logarithmic form

$\log_7 13 = x$

Answer:

C. $\log_7 13 = x$